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Finding the Fourth Proportional to 36,774.10, 55,159.79 and 10,478.16

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Solution

The fourth proportional to 36,774.10, 55,159.79 and 10,478.16 is: 15,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774.10 : 55,159.79 = 10,478.16 : x
  2. Step 2: Convert to fraction form
    36,774.10/55,159.79 = 10,478.16/x
  3. Step 3: Cross multiply
    36,774.10x = 55,159.79 × 10,478.16
  4. Step 4: Simplify right side
    36,774.10x = 577,973,052.80
  5. Step 5: Solve for x
    x = 577,973,052.80/36,774.10
  6. Step 6: Final answer
    x = 15,716.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.